{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4.k均值聚类"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# k均值聚类的过程\n",
    "import mglearn\n",
    "mglearn.plots.plot_kmeans_algorithm()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mglearn.plots.plot_kmeans_boundaries()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cluster memberships:\n",
      "[1 2 2 2 0 0 0 2 1 1 2 2 0 1 0 0 0 1 2 2 0 2 0 1 2 0 0 1 1 0 1 1 0 1 2 0 2\n",
      " 2 2 0 0 2 1 2 2 0 1 1 1 1 2 0 0 0 1 0 2 2 1 1 2 0 0 2 2 0 1 0 1 2 2 2 0 1\n",
      " 1 2 0 0 1 2 1 2 2 0 1 1 1 1 2 1 0 1 1 2 2 0 0 1 0 1]\n"
     ]
    }
   ],
   "source": [
    "# 使用kMeans模型\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "# 生成二维模拟数据\n",
    "X,y = make_blobs(random_state=1)\n",
    "# 构建聚类模型\n",
    "kmeans = KMeans(n_clusters=3)\n",
    "kmeans.fit(X) # 算法运行期间，为X中的每个数据点分配一个簇标签,可在kmeans.labels_属性中找到\n",
    "print(f\"Cluster memberships:\\n{kmeans.labels_}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1 2 2 2 0 0 0 2 1 1 2 2 0 1 0 0 0 1 2 2 0 2 0 1 2 0 0 1 1 0 1 1 0 1 2 0 2\n",
      " 2 2 0 0 2 1 2 2 0 1 1 1 1 2 0 0 0 1 0 2 2 1 1 2 0 0 2 2 0 1 0 1 2 2 2 0 1\n",
      " 1 2 0 0 1 2 1 2 2 0 1 1 1 1 2 1 0 1 1 2 2 0 0 1 0 1]\n"
     ]
    }
   ],
   "source": [
    "# 可以使用predict方法为新数据点分配簇标签\n",
    "print(kmeans.predict(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> <strong>注意:簇标签没有任何意义,仅表示该标签下的数据相似</strong>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x266adb4b8e0>,\n",
       " <matplotlib.lines.Line2D at 0x266adb4bc40>,\n",
       " <matplotlib.lines.Line2D at 0x266adb4bfa0>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 给出数据的图像\n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],kmeans.labels_,markers='o')\n",
    "mglearn.discrete_scatter(kmeans.cluster_centers_[:,0],kmeans.cluster_centers_[:,1],[0,1,2],markers='^',markeredgewidth=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x266ad932730>,\n",
       " <matplotlib.lines.Line2D at 0x266ad9323d0>,\n",
       " <matplotlib.lines.Line2D at 0x266ad9328e0>,\n",
       " <matplotlib.lines.Line2D at 0x266980d0d90>,\n",
       " <matplotlib.lines.Line2D at 0x266ad79db80>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 此外,我们可以使用更多或更少的簇中心\n",
    "import matplotlib.pyplot as plt\n",
    "fig,axes = plt.subplots(1,2,figsize=(10,5))\n",
    "\n",
    "# 使用两个聚簇中心\n",
    "kmeans = KMeans(n_clusters=2)\n",
    "kmeans.fit(X)\n",
    "assignments = kmeans.labels_\n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],assignments,ax=axes[0])\n",
    "\n",
    "# 使用5个聚簇中心\n",
    "kmeans= KMeans(n_clusters=5)\n",
    "kmeans.fit(X)\n",
    "assignments= kmeans.labels_\n",
    "mglearn.discrete_scatter(X[:,0],X[:,1],assignments,ax=axes[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.k均值的失败案例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Feature 1')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.cluster import KMeans\n",
    "import mglearn\n",
    "import matplotlib.pyplot as plt\n",
    "X_varied,y_varied = make_blobs(n_samples=200,cluster_std=[1.0,2.5,0.5],random_state=170)\n",
    "y_pred= KMeans(n_clusters=3,random_state=0).fit_predict(X_varied)\n",
    "mglearn.discrete_scatter(X_varied[:,0],X_varied[:,1],y_pred)\n",
    "plt.legend(['cluster 0','cluster 1','cluster 2'],loc='best')\n",
    "plt.xlabel(\"Feature 0\")\n",
    "plt.ylabel(\"Feature 1\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>如图所示,我们发现,kmeans聚类效果并不好,这是因为:每个簇仅由其中心定义，即每个簇都是“凸型”的。kmeans还假设所有簇在某种程度上具有相同的直径<br>\n",
    "   此外,kmeans还假设所有方向对每个簇同样重要</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Feature 1')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 生成一些随机随机分组数据\n",
    "import numpy as np\n",
    "X,y = make_blobs(random_state=170,n_samples=600)\n",
    "rng = np.random.RandomState(74)\n",
    "# 变换数据使其拉长\n",
    "transformation = rng.normal(size=(2,2))\n",
    "x=np.dot(X,transformation)\n",
    "\n",
    "# 将树局聚类为3个簇\n",
    "kmeans = KMeans(n_clusters=3)\n",
    "kmeans .fit(X)\n",
    "y_pred = kmeans.predict(X)\n",
    "\n",
    "# 画出簇分配和簇中心\n",
    "plt.scatter(X[:,0],X[:,1],c=y_pred,cmap=mglearn.cm3)\n",
    "plt.scatter(kmeans.cluster_centers_[:,0],kmeans.cluster_centers_[:,1],marker='^',c=[0,1,2],s=100,linewidth=2,cmap=mglearn.cm3)\n",
    "plt.xlabel(\"Feature 0\")\n",
    "plt.ylabel(\"Feature 1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Feature 1')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_moons\n",
    "X,y = make_moons(n_samples=200,noise=0.05,random_state=0)\n",
    "# 将数据聚类为两个簇\n",
    "kmeans = KMeans(n_clusters=2)\n",
    "kmeans.fit(X)\n",
    "y_pred=kmeans.predict(X)\n",
    "\n",
    "# 画出簇分配和中心\n",
    "plt.scatter(X[:,0],X[:,1],c=y_pred,cmap=mglearn.cm2)\n",
    "plt.scatter(kmeans.cluster_centers_[:,0],kmeans.cluster_centers_[:,1],marker='^',c=[mglearn.cm2(0),mglearn.cm2(1)],s=100)\n",
    "plt.xlabel(\"Feature 0\")\n",
    "plt.ylabel(\"Feature 1\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>如图所示,如果簇的形状更加复杂,则k均值的表现也不好</p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 总结\n",
    "<p>KMeans聚类算法非常流行的聚类算法，因为它不仅容易实现和理解而且运行速度也相对较快.能轻松扩展到大型数据集上</p>\n",
    "<p>KMeans的缺点在于：①它依赖于随机初始化,即算法的输出依赖于随机种子。对此,解决方法是，使用10种不同的随机初始化算法运行10次，并返回簇的方差之和最小的结果<br>②k均值还有一个缺点，就是对簇形状有要求(最好为球形),而且还要指定簇的个数</p>"
   ]
  },
  {
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